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A Multivariate New Better than Used Class Derived from a Shock Model

Author

Listed:
  • Emad El-Neweihi

    (University of Illinois at Chicago Circle, Chicago, Illinois)

  • Frank Proschan

    (The Florida State University, Tallahassee, Florida)

  • Jayaram Sethuraman

    (The Florida State University, Tallahassee, Florida)

Abstract

We introduce a new class of multivariate new better than used (MNBU) life distributions based on a shock model similar to that yielding the Marshall-Olkin multivariate exponential distribution. Let T 1 , …, T M be independent new better than used (NBU) life lengths. Let F̄ ( t 1 , …, t n ) be the joint survival function of min I ∈ A 1 T 1 , I = 1, …, n , where A 1 , …, A n are nonempty subsets of {1, …, M } and U r =1 n A 1 = {1, …, M } F̄ ( t 1 , …, t n ) is said to be a MNBU survival function. Basic properties of MNBU survival functions are derived. Comparisons and relationships of this new class of MNBU survival functions are developed with earlier classes.

Suggested Citation

  • Emad El-Neweihi & Frank Proschan & Jayaram Sethuraman, 1983. "A Multivariate New Better than Used Class Derived from a Shock Model," Operations Research, INFORMS, vol. 31(1), pages 177-183, February.
    • Handle: RePEc:inm:oropre:v:31:y:1983:i:1:p:177-183
    DOI: 10.1287/opre.31.1.177
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    Cited by:

    1. Alfredo García Güemes, 1994. "Un modelo de reemplazamiento para un sistema sujeto a shoks poissonianos," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 1, pages 31-44, Junio.

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